836
836 is a even composite number that follows 835 and precedes 837. It is composed of 12 distinct factors: 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836. Its prime factorization can be written as 2^2 × 11 × 19. 836 is classified as a abundant number based on the sum of its proper divisors. In computer science, 836 is represented as 1101000100 in binary and 344 in hexadecimal. Historically, it is written as DCCCXXXVI in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 11 × 19) reveals 4 prime building blocks.
Divisible by 2
836 ends in 6, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 36 form a multiple of 4.
Divisible by 5
836 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 17 is not a multiple of 9.
Divisible by 10
836 does not end in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Abundant classification and digit analytics place 836 within several notable number theory sequences:
Timeline
Deep dive
How 836 breaks down
836 carries 12 distinct factors and a digit signature of 17 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 844, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101000100 supports bitwise reasoning, hexadecimal 344 aligns with computing notation, and the Roman numeral DCCCXXXVI keeps the encyclopedic tradition alive. These attributes make 836 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 836 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (831–841) to tune search ranges, and educators feature 836 in worksheets about factor trees. Its binary footprint of length 10 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 836 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 836
Is 836 a prime number?
836 is composite with 12 total factors and the prime factorization 2^2 × 11 × 19.
What is the prime factorization of 836?
It breaks down as 2^2 × 11 × 19, multiplying the primes 2 × 2 × 11 × 19.
How is 836 represented in binary and hexadecimal?
836 converts to 1101000100 in binary and 344 in hexadecimal, which are helpful for computer science applications.
Is 836 a perfect square, cube, or triangular number?
836 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 836?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.